Metaheuristic algorithms for approximate solution to ordinary differential equations of longitudinal fins having various profiles

- Approximate solutions to ordinary differential equations (ODEs) in engineering.
- Fourier series with the aid of metaheuristics used as suggested approximate method.
- The GA, PSO and HS are utilized for optimization purposes.
- Obtained approximate solutions by the proposed method confirm the results by others.
- Proposed approach offers acceptable accuracy for a wide range of ODEs.